Liquid‐side ion exchange mass transfer in a ternary system

Abstract

Liquid phase mass transfer in a ternary system [ R -A ] + ( B + €) has been analyzed according to the Nernst-Planck equation. The equilibrium isotherm was represented by the mass action law. In the case of D,, > DB > DE, the resin phase concentration of B ion with time showed a peak. The height of the peak was influenced by the diffusivity ratio, equilibrium constant, and ionic valence. When the modified equilibrium constant K' 2 100 in the case of A ion and K' 2 500 in the case of Band €ions, the exchange rates of the ions could be obtained by approximat-Experimental data on the change of the resin phase concentration y with time are represented. In a [ R -H ' ] + (Na' + Zn") system, the change of yNa with time showed a high peak. In a [ R -H+] + (Na+ + Li') system, the change of yLi with time showed a small peak. No peaks arose in a [ R -Na+] + (H' + Li') system. The data agreed reasonably well with the values calculated according to the theoretical equations.

Selective transport of metal ions through cation exchange membrane in the presence of a complexing agent

“…First, let us consider the membrane-phase mass transport. If no co-ion, an anion, exists in the membrane and counterions transport in one direction, and mass flux of each ion in the membrane can be represented on the basis of the Nernst-Planck equation (Kataoka et al, 1987) as follows:…”

Simulation of Ion Exchange Resin with Finite Difference Methods

“…However, one common characteristic of all three models is that they produce a linear function that relates effluent concentration to running time. Further work by Kataoka [31,32] showed the influence of diffusion coefficient on computation. Lin, X. et al [33], Aurélie et al [34], Yang, J. et al [35], and Murillo, R. et al [36] also produced methods for modeling ion exchange.…”

Optimizing Cation to Anion Resin Ratio in Mixed-Bed Ion Exchange

“…This fact is one of the most important assumptions of MBIE modeling. Kataoka et al (1987) . They showed that the electric field, caused by the difference of their respective diffusivities, has a significant effect on the ion exchange rate of a binary system.…”

“…They showed that the electric field, caused by the difference of their respective diffusivities, has a significant effect on the ion exchange rate of a binary system. 16 Haub and Foutch (1984) studied the film-diffusion controlled liquid-side mass transfer in a ternary system. Flux expressions for the ions with equal valences and ions with different valences were developed separately.…”